RIGID RANDOM SURFACES AT LARGE d

David, F.; Guitter, E.

doi:10.1016/0550-3213(88)90359-8

RIGID RANDOM SURFACES AT LARGE d

F. David
(
- Saclay, SPhT
)
,
E. Guitter
(
- Saclay, SPhT
)

Jul 21, 1987

31 pages

Published in:

Nucl.Phys.B 295 (1988) 332-362

Published: 1988

DOI:

10.1016/0550-3213(88)90359-8

Report number:

SACLAY-SPHT-87-105

View in:

AMS MathSciNet

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Abstract: (Elsevier)

A model of two-dimensional random surfaces with extrinsic curvature energy is studied in the limit where the dimension of bulk space d is large. The large- d effective potential is constructed. For large surface tension the ground state is homogeneous and its properties are studied. For small enough surface tension, non-perturbative instabilities which break translation invariance in the plane of the membrane are shown to occur for large but finite wavelength. The relationships between this model, the bosonic string, the Liouville model and lattive random surface models are discussed.

FIELD THEORY: SPACE-TIME
FIELD THEORY: EFFECTIVE ACTION
FIELD THEORY: PATH INTEGRAL
LATTICE FIELD THEORY: RANDOM SURFACE
RENORMALIZATION GROUP
SPONTANEOUS SYMMETRY BREAKING
STABILITY
FIELD THEORY: GROUND STATE
MODEL: LIOUVILLE

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